| Commissioners of National Education in Ireland - 1837
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be **equal to twice as many right angles as the figure has sides,** wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external... | |
| Charles Reiner - 1837 - 254 sider
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any polygon is **equal to twice as many right angles as the figure has sides** less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum... | |
| Robert Simson - 1838 - 434 sider
...which is the common vertex of the triangles : that is, (2 Cor. 15. 1.) together with four right angles. **Therefore all the angles of the figure, together with...All the exterior angles of any rectilineal figure,** are together equal to four right angles. Because every interior angle ABC, with its adjacent exterior... | |
| Euclides - 1838 - 264 sider
...which is the common vertex of «2cor is i "le triangles; that is,* together with four right angles. **Therefore all the angles of the figure, together with...twice as many right angles as the figure has sides.** COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1840 - 192 sider
...two right angles. All the angles, therefore, of the triangles into which the AE figure is divided, **are equal to twice as many right angles as the figure has sides.** But of these, the angles round the point F are equal to four right angles (Prop. 13, cor.) : if these... | |
| Dionysius Lardner - 1840 - 314 sider
...supplement of its adjacent external angle, the internal and external angles, taken together, will be **equal to twice as many right angles as the figure has sides** ; but, from what has been already shown, the external angles alone are equal to four right angles.... | |
| Euclides - 1841 - 378 sider
...angles. Wherefore, if a side of a triangle, &c. QED COR. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Euclides - 1842
...as there are triangles (Euc. 32. 1.); that is, as there are sides in the figure BCDEF; and because **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sides in the figure (Euc. 1. Cor. 32. 1.);... | |
| John Playfair - 1842 - 332 sider
...angles as there are triangles (32. 1.) » that is, as there are sides in the figure BCDEF ; and because **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sides in the figure(l cr. 32. 1 .^therefore... | |
| Nicholas Tillinghast - 1844 - 96 sider
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is **equal to twice as many right angles as the figure has sides,** less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the... | |
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